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nevsk [136]
2 years ago
6

(50 points + brainliest if found useful.)

Mathematics
2 answers:
Alexxandr [17]2 years ago
6 0

Answer:

C

Step-by-step explanation:

9x-4+5x+16=180

14x+12=180

14x=168

x=12

blagie [28]2 years ago
4 0

Answer:

  C)  12

Step-by-step explanation:

Consecutive interior angles are supplementary:

  (9x -4)° +(5x +16)° = 180°

  14x = 168 . . . . . . divide by °, subtract 12

  x = 12 . . . . . . . . divide by 14

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3 years ago
Help asap. Like hurry
skelet666 [1.2K]

Answer:

53.85

Step-by-step explanation:

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What is the average rate of change of the function f(x)=20(14)x from x = 1 to x = 2? Enter your answer, as a decimal, in the box
Lesechka [4]

Answer: -3.75

Step-by-step explanation:

10000000000% sure because I took the test

5 0
3 years ago
Read 2 more answers
The length of time taken on the SAT for a group of students is normally distributed with a mean of 2.5 hours and a standard devi
son4ous [18]

Answer:

Step-by-step explanation:

Since the length of time taken on the SAT for a group of students is normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - u)/s

Where

x = length of time

u = mean time

s = standard deviation

From the information given,

u = 2.5 hours

s = 0.25 hours

We want to find the probability that the sample mean is between two hours and three hours.. It is expressed as

P(2 lesser than or equal to x lesser than or equal to 3)

For x = 2,

z = (2 - 2.5)/0.25 = - 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.02275

For x = 3,

z = (3 - 2.5)/0.25 = 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.97725

P(2 lesser than or equal to x lesser than or equal to 3)

= 0.97725 - 0.02275 = 0.9545

6 0
3 years ago
A street light is at the top of a 25 ft pole. A 4 ft tall girl walks along a straight path away from the pole with a speed of 6
Burka [1]

Answer:

Tip of the shadow of the girl is moving with a rate of 7.14 feet per sec.

Step-by-step explanation:

Given : In the figure attached, Length of girl EC = 4 ft

           Length of street light AB = 25 ft

           Girl is moving away from the light with a speed = 6 ft per sec.

To Find : Rate (\frac{dw}{dt}) of the tip (D) of the girl's shadow (BD) moving away from th

light.

Solution : Let the distance of the girl from the street light is = x feet

Length of the shadow CD is = y feet

Therefore, \frac{dx}{dt}=6 feet per sec. [Given]

In the figure attached, ΔAFE and ΔADE are similar.

By the property of similar triangles,

\frac{x}{21}=\frac{x+y}{25}

25x = 21(x + y)

25x = 21x + 21y

25x - 21x = 21y

4x = 21y

y = \frac{4x}{21}

Now we take the derivative on both the sides,

\frac{dy}{dt}=\frac{4}{21}\times \frac{dx}{dt}

= \frac{4}{21}\times 6

= \frac{8}{7}

≈ 1.14 ft per sec.

Since w = x + y

Therefore, \frac{dw}{dt}= \frac{dx}{dt}+\frac{dy}{dt}

\frac{dw}{dt}=6+1.14

= 7.14 ft per sec.

Therefore, tip of the shadow of the girl is moving with a rate of 7.14 feet per sec.

3 0
3 years ago
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